Browse Hierarchy SPA7031U: Supersymmetric Methods in Theoretical Physics

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This course introduces core concepts in supersymmetry that can be applied to quantitatively understand a broad variety of physical systems and is a complement to the AQFT and FMQFT modules. Starting with supersymmetric quantum mechanics as a toy model, the course covers the supersymmetry algebra, its representations, the Witten Index, and the resulting constraints on quantum dynamics. We then move on to introduce supersymmetric field theories in three space-time dimensions consisting of scalars and fermions while giving a basic introduction to symmetry currents, the classical and quantum Wilsonian renormalization group flow, moduli spaces, spurions, and non-renormalization arguments. The course culminates in a study of simple dualities in three-dimensional supersymmetric abelian gauge theories. We conclude with a discussion of supersymmetry in four space-time dimensions and, time permitting, the embedding of our constructions in string theory.

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